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Finding the Fourth Proportional to 131,005, 196,507.50 and 32,509

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Solution

The fourth proportional to 131,005, 196,507.50 and 32,509 is: 48,763.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,005 : 196,507.50 = 32,509 : x
  2. Step 2: Convert to fraction form
    131,005/196,507.50 = 32,509/x
  3. Step 3: Cross multiply
    131,005x = 196,507.50 × 32,509
  4. Step 4: Simplify right side
    131,005x = 6,388,262,317.50
  5. Step 5: Solve for x
    x = 6,388,262,317.50/131,005
  6. Step 6: Final answer
    x = 48,763.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.